10673952240 has 960 divisors, whose sum is σ = 44294307840. Its totient is φ = 2107607040.

The previous prime is 10673952239. The next prime is 10673952281. The reversal of 10673952240 is 4225937601.

It is a super-2 number, since 2×10673952240² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 159312687 + ... + 159312753.

It is an arithmetic number, because the mean of its divisors is an integer number (46139904).

Almost surely, 2^10673952240 is an apocalyptic number.

10673952240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10673952240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22147153920).

10673952240 is an abundant number, since it is smaller than the sum of its proper divisors (33620355600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10673952240 is a wasteful number, since it uses less digits than its factorization.

10673952240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The spelling of 10673952240 in words is "ten billion, six hundred seventy-three million, nine hundred fifty-two thousand, two hundred forty".